2121112013 has 2 divisors, whose sum is σ = 2121112014. Its totient is φ = 2121112012.

The previous prime is 2121111989. The next prime is 2121112027. The reversal of 2121112013 is 3102111212.

It is an a-pointer prime, because the next prime (2121112027) can be obtained adding 2121112013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1287230884 + 833881129 = 35878^2 + 28877^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121112013 - 2⁸ = 2121111757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121112043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556006 + 1060556007.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556007).

Almost surely, 2^2121112013 is an apocalyptic number.

It is an amenable number.

2121112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121112013 is an equidigital number, since it uses as much as digits as its factorization.

2121112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2121112013 is about 46055.5318392916. The cubic root of 2121112013 is about 1284.8562296316.

Adding to 2121112013 its reverse (3102111212), we get a palindrome (5223223225).

The spelling of 2121112013 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, thirteen".